You wish to test the following claim \((H_1)\) at a significance level of \(0.02\).\[\begin{align*}H_0: \mu &= 84.4 \\H_1: \mu &> 84.4 \\\end{align*}\]You believe the population is normally distributed and you know the standard deviation is \(\sigma = 13.9\). You obtain a sample mean of \(\bar{x} = 88.9\) for a sample of size \(n = 50\).**Part 1:**What is the test statistic for this sample? (Report answer accurate to three decimal places.)- Test statistic = \(2.289\) ✔️**Part 2:**What is the p-value for this sample? (Report answer accurate to four decimal places.)- p-value = ______

(\mu)population mean(μ) = 84.484.4 Population Standard Deviation (\sigma)(σ) = 13.913.9…

Answered: You wish to test the following claim…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

This assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used. 0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean. 0.5 point for finding the correct probability. All work must be shown in order to receive any credit. Please upload your completed assignment here. The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.
You wish to test the following claim (HA) at a significance level of a = 0.002. H.:µ = 76.5 Ha: µ > 76.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 16 with mean M = 95.2 and a standard deviation of SD = 18.2. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = 4.1099 V What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
You wish to test the following claim (Ha) at a significance level of a = 0.005. Ho: μ = 71.5 Ha: μ > 71.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 529 with a mean of M = 72.9 and a standard deviation of SD = 18.3. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... O in the critical region O not in the critical region This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 71.5. O There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 71.5. O The sample data…
You wish to test the following claim (H,) at a significance level of a = 0.05. H.:µ = 54.4 Ha:µ < 54.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 89 with mean M = 47.6 and a standard deviation of SD = 18.2. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
You wish to test the following claim (Ha) at a significance level of a = 0.005.Ho: M = 59.3Ha: M > 59.3 You believe the population is normally distributed and you know the standard deviation is o = 18.1. Youobtain a sample mean of M = 68 for a sample of size n36. What is the critical value for this test? (Report answer accurate to three decimal places.)critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic =
The time to complete an exam is approximately Normal with a mean μ = 47 minutes and a standard deviation o = 8 minutes. The bell curve below represents the distribution for testing times. The scale on the horizontal axis is equal to the standard deviation. 1. Fill in the indicated boxes. μ-3σ μ-2ο μίσ + μ μ+o 47 minutes. 2. Used the Empirical Rule to complete the following statements: 95% of testing times were between and μ = 47 σ = 8 μ+20 μ+30 minutes and 55 minutes. minutes % of the testing times were between 39
Please help asap
An IQ score has a Normal distribution with mean 50 and standard deviation 5. Assume we want a sample of size 9. What proportion of sample means (of size 9) are less than 46.1? (Select nearest answer if your exact answer is not provided below). Group of answer choices 0.16 0.05 0.01 0.0013
You wish to test the following claim (H) at a significance level of a = 0.10. H.:µ = 66.2 Ha:µ + 66.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 10 with mean M = 43.4 and a standard deviation of SD = 18.5. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is. O less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that. O There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 66.2. O There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 66.2. O The sample data support the claim that the population mean is not…
You wish to test the following claim (H.) at a significance level of a = 0.005. H.:µ = 65.2 Ha:u < 65.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of 44.8 and a standard deviation size n 9 with mean M of SD = 14.2. What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) a greater than a This p-value leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is less than 65.2. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 65.2. The sample data support the claim that the population mean is less than 65.2. There is not sufficient sample evidence to support the claim that the population mean is less than 65.2.
You wish to test the following claim (Ha) at a significance level of a = 0.05. H.:µ = 75.3 Ha:µ > 75.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 613 with mean ã = 76.3 and a standard deviation of s = 6.7. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value The p-value is... less than (or equal to) a greater than a This test statistic leads to a decision to... reject the null |accept the null |fail to reject the null As such, the final conclusion is that... | There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 75.3. |There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 75.3. The sample data support the claim that the population mean is greater…
When members of a philanthropic organization send out a fundraising letter, they get a return from about 7% of the people on their mailing list. They simulated 1000 mailings for samples of size n with success rate p = 0.07. The sample statistics from each simulation are shown in the table. Complete parts (a) through (d) below. Click the icon to view histograms of the simulations. n 20 theoretical standard deviation n 20 50 100 200 a) According to the Normal model, what should the theoretical mean and standard deviations be for these sample sizes? Complete the following table. theoretical mean 50 100 200 (Round to four decimal places as needed.). mean 0.0699 0.0708 0.0705 0.0693 standard dev. 0.0567 0.0366 0.0256 0.0179

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS

$(\mu)$ $mean(μ)$ =	$84.4$
Population Standard Deviation $(\sigma)$ =	$13.9$
Sample Size $(n)$ =	$50$
Sample Mean $(\bar X)$ =	$88.9$
Significance Level $(\alpha)$	$0.02$